QuestionQuestion 8. Find the derivatives of the following functions: $$y=\sec \left(x \sqrt{x^{2}+2}\right)$$

Studdy Solution
The derivative of $y = \sec\left(x\sqrt{x^2 + 2}\right)$ is: $$\frac{dy}{dx} = \sec\left(x\sqrt{x^2 + 2}\right)\tan\left(x\sqrt{x^2 + 2}\right) \cdot \frac{2(x^2 + 1)}{\sqrt{x^2 + 2}}$$